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Kipish [7]
3 years ago
10

Mrs. Shoelady gave her children $2.40 in quarters, dimes, and nickles. The number of nickles was twice the number of quarters. T

he number of quarters was twice the number of dimes. How many of each coin did she give out?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

6 quarters, 3 dimes, and 12 nickles

Step-by-step explanation:

Let's say Q is the number of quarters, D is the number of dimes, and N is the number of nickles.

From the information in the problem, we can write three equations:

25Q + 10D + 5N = 240

N = 2Q

Q = 2D

Solve the system of equations using substitution.

25(2D) + 10D + 5(2Q) = 240

50D + 10D + 10Q = 240

60D + 10(2D) = 240

60D + 20D = 240

80D = 240

D = 3

Q = 6

N = 12

There are 6 quarters, 3 dimes, and 12 nickles.

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